the figure below represents $\frac{7}{8}$ of a full circle. find the measure of the marked central angle.

Question

Accepted Answer

# Explanation:
## Step1: Recall the measure of a full - circle
A full - circle has a central angle measure of $360^{\circ}$.
## Step2: Calculate the measure of the given central angle
If the figure represents $\frac{7}{8}$ of a full - circle, then the measure of the central angle $\theta$ is $\theta=\frac{7}{8}\times360^{\circ}$.
$$
\begin{align*}
\theta&=\frac{7\times360^{\circ}}{8}\
&=\frac{7\times45^{\circ}\times8}{8}\
& = 315^{\circ}
\end{align*}
$$

# Answer:
$315^{\circ}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall the measure of a full - circle

Step2: Calculate the measure of the given central angle

Answer: